You obtain a 100-W light bulb and a 50-W light bulb. Instead of connecting them in the normal way, you devise a circuit that places them in series across normal household voltage. If each one is an incandescent bulb of fixed resistance, which statement about these bulbs is correct?

When they are connected in series

     The  50 W bulb glow more than the 100 W bulb

Explanation:

From the question we are told that

     The power rating  of the first bulb is

      The power rating of the second bulb is  

Generally the power rating of the first bulb is mathematically represented as

Where   is the normal household voltage which is constant for both bulbs

  So  

substituting values

Thus the resistance of the second bulb would be evaluated as

From the above calculation we see that

This power rating of the first bulb can also be represented mathematically as  

This power rating of the first bulb can also be represented mathematically as    

Now given that they are connected in series which implies that the same current flow through them so

This means  that

So  when they are connected in series

This means that the 50 W bulb glows more than the 100 \ W bulb

this means that the temperature of both substances will be equal